Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces
Analysis of PDEs
2022-03-31 v2
Abstract
We develop tools to construct Lyapunov functionals on the space of probability measures in order to investigate the convergence to global equilibrium of a damped Euler system under the influence of external and interaction potential forces with respect to the 2-Wasserstein distance. We also discuss the overdamped limit to a nonlocal equation used in the modelling of granular media with respect to the 2-Wasserstein distance, and provide rigorous proofs for particular examples in one spatial dimension.
Cite
@article{arxiv.1712.05923,
title = {Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces},
author = {José A. Carrillo and Young-Pil Choi and Oliver Tse},
journal= {arXiv preprint arXiv:1712.05923},
year = {2022}
}